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Improved results for testing the oscillation of functional differential equations with multiple delays

Authors :
Amira Essam
Osama Moaaz
Moutaz Ramadan
Ghada AlNemer
Ibrahim M. Hanafy
Source :
AIMS Mathematics, Vol 8, Iss 11, Pp 28051-28070 (2023)
Publication Year :
2023
Publisher :
AIMS Press, 2023.

Abstract

In this article, we test whether solutions of second-order delay functional differential equations oscillate. The considered equation is a general case of several important equations, such as the linear, half-linear, and Emden-Fowler equations. We can construct strict criteria by inferring new qualities from the positive solutions to the problem under study. Furthermore, we can incrementally enhance these characteristics. We can use the criteria more than once if they are unsuccessful the first time thanks to their iterative nature. Sharp criteria were obtained with only one condition that guarantees the oscillation of the equation in the canonical and noncanonical forms. Our oscillation results effectively extend, complete, and simplify several related ones in the literature. An example was given to show the significance of the main results.

Details

Language :
English
ISSN :
24736988
Volume :
8
Issue :
11
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.5ca48762565f44809f140d2e0bb439eb
Document Type :
article
Full Text :
https://doi.org/10.3934/math.20231435?viewType=HTML